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Balázs István (Bolyai Intézet): Periodic solutions of a differential equation with a queueing delay

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Monday, 1. June 2015, 14:00 - 16:00
Abstract. We consider a differential equation with a state-dependent delay motivated by a queueing process. The time delay is determined by an algebraic equation involving the length of the queue. For the length of the queue a discontinuous differential equation holds. We formulate an appropriate framework to study the problem, and show that the solutions define a Lipschitz continuous semiflow in the phase space. The main result guarantees the existence of slowly oscillating periodic solutions.
Location : Bolyai terem, Bolyai Épület

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